# Alisha Zachariah

UW Madison

UW Madison

Spring 2016 - Math 222 - Saverio Spagnolie

Fall 2015 - Math 234 - Gabriele Meyer

Spring 2015 - Math 234 - Alexander Hanhart

Fall 2014 - Math 222 - Serguei Denissov

Spring 2014 - Math 222 - Jennifer Beichman

Fall 2013 - Math 222 - Daniel Erman

I am a 6th year graduate student in Mathematics at UW Madison. I am very fortunate to have Shamgar Gurevich as my advisor.

Teaching is very important to me and I was happy to be named an L&S Teaching Fellow for 2017-18.

Here's a copy of my CV.

This project utilizes the mathematical structure of the Heisenberg representation to suggest signal design and a channel estimation algorithm that is more efficient in the case that the channel is sparse.

This project involves expanding current understanding of the algebraic structure of the power flow equations and applying this to algorithm design.

With several advancements in modeling random networks, we are investigating how to generalize tools for community detection in homogeneous Erdös-Rényi graphs to broader categories of random models.

- J. Lindberg, A. Zachariah, N. Boston, B. Lesieutre, "The Geometry of Real Solutions to the PowerFlow Equations." Allerton, 2018.
- A. Zachariah, Z. Charles, N. Boston, B. Lesieutre, "Distributions of the Number of Solutions to the Network Power Flow Equations." International Symposium on Circuits and Systems, 2018.
- A. Zachariah, Z. Charles, "Efficiently Finding All Power Flow Solutions to Tree Networks." Allerton, 2017.
- A. Zachariah, "Low-Complexity Channel Estimation." In preparation.
- J. Ellenberg, L. Jain, A. Zachariah, "Clique Detection General Random Graphs" In preparation.